Finding the Third Proportional to 11,789 and 25,684

Step by Step Solution

1. Step 1: Write the proportion equation
   11,789 : 25,684 = 25,684 : x
2. Step 2: Convert to fraction form
   11,789/25,684 = 25,684/x
3. Step 3: Cross multiply
   11,789x = 25,684 × 25,684
4. Step 4: Simplify right side
   11,789x = 659,667,856
5. Step 5: Solve for x
   x = 659,667,856/11,789
6. Step 6: Final answer
   x = 55,956.22